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Finding the Fourth Proportional to 18,651.68, 27,980.97 and 6,171.81

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Solution

The fourth proportional to 18,651.68, 27,980.97 and 6,171.81 is: 9,258.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,651.68 : 27,980.97 = 6,171.81 : x
  2. Step 2: Convert to fraction form
    18,651.68/27,980.97 = 6,171.81/x
  3. Step 3: Cross multiply
    18,651.68x = 27,980.97 × 6,171.81
  4. Step 4: Simplify right side
    18,651.68x = 172,693,218.57
  5. Step 5: Solve for x
    x = 172,693,218.57/18,651.68
  6. Step 6: Final answer
    x = 9,258.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.